Final Review – Chapters 6 & 7
GEOMETRY FINAL EXAM TOPICS and Basics Review
Chapter 6: Inequalities
• The sum of any two sides of a triangle is greater than its third side
• In a triangle, the largest side is opposite the largest angle
Chapter 7: Similar Polygons
• Definition of similar figures (two parts)
• Properties of proportions
• Solving for parts of similar figures (basic problems and one triangle inside of the other)
• Side splitting and angle bisector similarity theorems
Chapter 8: Right Triangles
• Geometric mean, altitude of a right triangle (look at notes sheet)
• Pythagorean theorem
• Special right triangles (30-60-90, 45-45-90)
• Trig ratios (solve for unknown parts of triangles using trigonometry)
• Trig word problems (angle of depression, angle of elevation, grade)
• Find the diagonal of a rectangular prism
Chapter 9: Circles
• Basic terms (differences between similar terms like secant and chord, concentric and congruent)
• Angles in circles and their relationship to their arcs (central, inscribed, chord and tangent, inscribed quadrilaterals, two chords, outside of the circle)
• Chords and arcs (9-4, congruent chords have congruent arcs, congruent chords equidistant from center, perpendicular from the center bisects a chord and its arc)
Chapter 11: Area
• Area of rectangle, rhombus, parallelogram
• Area of triangle, including special case of the isosceles triangle
• Area of trapezoid (draw in heights to solve for unknown parts)(median of trapezoid)
• Area of regular polygons (finding apothem using special triangles)
• Area and circumference of circle
• Ratios of areas
Chapter 12: Volume
• Volume, Lateral Area and Total Area of prisms, pyramids, cones, and cylinders
• Finding height and slant height of pyramids given other parts
• Finding height or slant height of cones given other parts
• Volume of spheres
Chapter 13: Coordinate Geometry
• Midpoint, Distance, and Slope formula
• Linear Equations
• Graphing geometric shapes
Final Review – Chapters 6 & 7
Part I: Multiple choice:
1.) If two triangles are similar, what is true about the corresponding angles?
a.) similar b.) congruent c.) supplementary d.) complementary
2.) In triangle APE, if m m AP d.) AE ( AP
3.) In triangle TOD, if TO > OD, then…
a.) ................
................
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